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Periodic perturbations of Hamiltonian systems

TitlePeriodic perturbations of Hamiltonian systems
Publication TypeJournal Article
Year of Publication2016
AuthorsFonda, A, Garrione, M, Gidoni, P
JournalAdvances in Nonlinear Analysis
Volume5
Pagination367–382
Abstract

We prove existence and multiplicity results for periodic solutions of Hamiltonian systems, by the use of a higher dimensional version of the Poincaré–Birkhoff fixed point theorem. The first part of the paper deals with periodic perturbations of a completely integrable system, while in the second part we focus on some suitable global conditions, so to deal with weakly coupled systems.

DOI10.1515/anona-2015-0122

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